Question

Is this expression Prime?

Answer 1

\[5x^3 - 35x^2 + 60x\]

Answer 2

definition of prime= a number that's only divisible by 1 and itself. can you think of any number you can plug into x that will result in a number that's not prime?

Answer 3

no... it's factorable

Answer 4

Um, can I plug in a number that divisible past itself?

Answer 5

Well I took the GCF and I am left with 5x(x^2 - 7x + 30)

Answer 6

I can't figure out how to factor past this..

Answer 7

that quadratic is now prime. but your original expression is factorable.

Answer 8

D:

Answer 9

So, do I not find the GCF?

Answer 10

you're done... you factored your original expression:
5x3−35x2+60x = 5x(x^2 - 7x + 30)

Answer 11

If you set x = 2 you get the expression
5(2)^3−35(2)^2+60(2). Factor out the number 2 and you're left with the expression
2(5*(2^2) - 35*2 + 60). 2 multiplied with any number results in a composite number. So, no that expression is not prime.

Answer 12

Wow.. ok. Thanks! :D

The questions look like the expect much more from you.

Answer 13

What's the question word for word?

Answer 14

Explain, in complete sentences, how you would factor 5x^3 – 35x^2 + 60x.

Provide the factors.

Answer 15

5x(x^2-7x+12x) = y.
factors:
x=0
(x-3) -> x=3
(x-4) -> x=4